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Magnetotransport measurements are performed in ultraclean (lithographically patterned) graphene nanoribbons down to 70 nm. At high magnetic fields, a fragmentation of the electronic spectrum into a Landau levels pattern with unusual…

We consider massless Dirac fermions in a graphene monolayer subject to both a perpendicular magnetic field $B$ and a proximity-induced pairing gap $\Delta$. When the chemical potential is at the Dirac point, our exact solution of the…

Mesoscale and Nanoscale Physics · Physics 2017-10-30 L. Cohnitz , A. De Martino , W. Häusler , R. Egger

When charge transport occurs under conditions like topological protection or ballistic motion, the conductance of low-dimensional systems often exhibits quantized values in units of $e^{2}/h$, where $e$ and $h$ are the elementary charge and…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Baojuan Dong , Kai Zhao , Kenji Watanabe , Takashi Taniguchi , Jianming Lu , Jianting Zhao , Fengcheng Wu , Jing Zhang , Zheng Han

We study the magnetic-field dependence of Landau levels in graphene proximitized by large spin-orbit coupling materials, such as transition-metal dichalcogenides or topological insulators. In addition to the Rashba coupling, two types of…

Mesoscale and Nanoscale Physics · Physics 2020-10-28 Tobias Frank , Jaroslav Fabian

Scanning tunneling spectroscopy measurements were made on surfaces of two different kinds of graphite samples, Kish graphite and highly oriented pyrolytic graphite (HOPG), at very low temperatures and in high magnetic fields. We observed a…

Other Condensed Matter · Physics 2009-11-10 T. Matsui , H. Kambara , Y. Niimi , K. Tagami , M. Tsukada , Hiroshi Fukuyama

Graphene, with its massless linearly-dispersing carriers, in the quantum Hall regime provides an instructive comparison with conventional two-dimensional (2D) systems in which carriers have a nonzero band mass and quadratic dispersion. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. -H. Zhang , Yogesh N. Joglekar

In this paper we study the excitation spectrum of graphene in a strong magnetic field, beyond the Dirac cone approximation. The dynamical polarizability is obtained using a full $\pi$-band tight-binding model where the effect of the…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Shengjun Yuan , Rafael Roldán , Mikhail I. Katsnelson

The Landau level spectrum of graphene superlattices is studied using a tight-binding approach. We consider non-interacting particles moving on a hexagonal lattice with an additional one-dimensional superlattice made up of periodic square…

Mesoscale and Nanoscale Physics · Physics 2012-06-28 G. Pal , W. Apel , L. Schweitzer

We show that, when graphene is subjected to an appropriate one-dimensional external periodic potential, additional branches of massless fermions are generated with nearly the same electron-hole crossing energy as that at the original Dirac…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 Cheol-Hwan Park , Young-Woo Son , Li Yang , Marvin L. Cohen , Steven G. Louie

We report on numerical study of the Dirac fermions in partially filled N=3 Landau level (LL) in graphene. At half-filling, the equal-time density-density correlation function displays sharp peaks at nonzero wavevectors $\pm {\bf q^{*}}$.…

Strongly Correlated Electrons · Physics 2008-03-31 Hao Wang , D. N. Sheng , L. Sheng , F. D. M. Haldane

Graphene devices require electric contacts with metals, particularly with gold. Scanning tunneling spectroscopy studies of electron local density of states performed on mono-, bi- and tri- graphene layer deposited on metallic conductive…

Materials Science · Physics 2009-01-05 Z. Klusek , P. Dabrowski , P. Kowalczyk , W. Kozlowski , P. Blake , M. Szybowicz , T. Runka , W. Olejniczak

We present transport measurements of tunnel junctions made between Cu and graphene in a magnetic field. We observe a transition to a Landau level like structure at high fields, as well as a set of sharp features in the tunneling spectra…

Mesoscale and Nanoscale Physics · Physics 2011-09-22 C. E. Malec , D. Davidović

The density of states and differential entropy per particle are analyzed for Dirac-like electrons in graphene subjected to a perpendicular magnetic field and an in-plane electric field. For comparison, the derived density of states is…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Andrii A. Chaika , Yelizaveta Kulynych , D. O. Oriekhov , Sergei G. Sharapov

The low energy electronic excitations in single layer and bilayer graphite (graphene) resemble quantum-relativistic particles also known as Dirac Fermions (DF). They possess an internal degree of freedom, chirality, that leads to unusual…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Guohong Li , Eva Y. Andrei

A monolayer graphene exists in an environment where a uniform magnetic field interacts a spatially modulated magnetic field. The spatially modulated magnetic field could affect Landau levels due to a uniform magnetic field. The modulation…

Mesoscale and Nanoscale Physics · Physics 2007-08-02 J. H. Ho , Y. H. Lai , Y. H. Chiu , M. F. Lin

Massless Dirac electrons in graphene fill Landau levels with energies scaled as square roots of their numbers. Coulomb interaction between electrons leads to mixing of different Landau levels. The relative strength of this interaction…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Yu. E. Lozovik , A. A. Sokolik

Elastic strain can displace the massless Dirac fermions in monolayer graphene in a space-dependent fashion, similar to the effect of an external magnetic field, thus giving rise to Landau quantization. We here show that the strain-induced…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Tianyu Liu , Jun-Hong Li , Xingchuan Zhu , Huaiming Guo , Hai-Zhou Lu , X. C. Xie

Recent scanning tunneling microscopy experiments on graphene at charge neutrality under strong magnetic fields have uncovered a ground state characterized by Kekul\'e distortion (KD). In contrast, non-local spin and charge transport…

Mesoscale and Nanoscale Physics · Physics 2024-01-24 Nemin Wei , Guopeng Xu , Inti Sodemann Villadiego , Chunli Huang

Landau levels of AB-stacked four- to six-layer graphene were studied experimentally in the presence of a perpendicular electric field. The Landau levels at a low magnetic field showed a characteristic structure that originated from the…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Kota Horii , Tomoaki Nakasuga , Taiki Hirahara , Shingo Tajima , Ryoya Ebisuoka , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

Electronic properties of surface areas decoupled from graphite are studied using scanning tunnelling microscopy and spectroscopy. We show that it is possible to identify decoupled graphene monolayer, Bernal bilayer, and Bernal trilayer on…

Mesoscale and Nanoscale Physics · Physics 2015-03-06 Long-Jing Yin , Si-Yu Li , Jia-Bin Qiao , Jia-Cai Nie , Lin He